LIVEdataset aec-bench@releasetasks 552models 18last submission … · built …
mechanicalwith-tool

Pump Power Efficiency

Calculates pump hydraulic power from flow, head, and fluid density, then accounts for pump efficiency, motor efficiency, and a sizing factor. The template reports shaft power, motor input power, and recommended motor size as explicit numeric outputs.

with-tool: The model is given an executable Python calculator script.

Standards

Hydraulic Institute Standards

Tags

deterministicefficiencymechanicalpowerpump

How this task is generated

One template produces many comparable benchmark tasks while keeping the scoring contract fixed.

  1. 01

    Template

    The reusable contract shown on this page.

  2. 02

    Scenario

    An archetype and site context are sampled.

  3. 03

    Difficulty tier

    Inputs may be hidden at harder tiers.

  4. 04

    Task prompt

    The model responds with the declared outputs.

Parameters

Inputs the model receives, and the outputs it is scored on.

Inputs

6 inputs

Always given

Included directly in every task prompt.

6

  • Flow rate

    flow_rate_m3_h

    Pump flow rate

    0.1 – 20000 m3/h

  • Total dynamic head

    total_dynamic_head_m

    Total dynamic head

    0.1 – 500 m

  • Fluid density

    fluid_density_kg_m3

    Fluid density

    500 – 1400 kg/m3

  • Pump efficiency pct

    pump_efficiency_pct

    Pump efficiency

    1 – 100 %

  • Motor efficiency pct

    motor_efficiency_pct

    Motor efficiency

    1 – 100 %

  • Motor sizing factor

    motor_sizing_factor

    Motor sizing factor

    1 – 2

Scored outputs

4 outputs

Hydraulic power

hydraulic_power_kw

Hydraulic power delivered to the fluid

Scores if within ±3% of the reference value.

Shaft power

shaft_power_kw

Pump shaft power

Scores if within ±3% of the reference value.

Motor input power

motor_input_power_kw

Motor electrical input power

Scores if within ±3% of the reference value.

Recommended motor size

recommended_motor_size_kw

Recommended motor power after sizing factor

Scores if within ±3% of the reference value.

Difficulty

Each template is sampled at three tiers. Harder tiers may hide inputs, forcing the model to infer them from the scenario description.

All inputs remain visible at every tier

For this template, difficulty scales through parameter and scenario ranges rather than hidden information.

easy:
All parameters given for a water transfer pump
medium:
All parameters given across pump power settings
hard:
All parameters given for process pump motor sizing

Task bundle

The exact instruction and parameter contract used to generate this task, pinned to the published library source.

/workspace

  • instruction.md
  • pump-power-efficiency_calc.py

Teal lines show Jinja input conditions, not task visibility policy. A line renders only when that input or tool is visible.

1You are a senior mechanical engineer specializing in pump power and motor sizing.2 3## Task4 5Calculate the pump power and recommended motor size for the duty in {{ site_context }}.6 7## Given8 9| Parameter | Value | Unit |10| --- | ---: | --- |11| Flow rate | {{ flow_rate_m3_h }} | m3/h |12| Total dynamic head | {{ total_dynamic_head_m }} | m |13| Fluid density | {{ fluid_density_kg_m3 }} | kg/m3 |14| Pump efficiency | {{ pump_efficiency_pct }} | % |15| Motor efficiency | {{ motor_efficiency_pct }} | % |16| Motor sizing factor | {{ motor_sizing_factor }} | - |17 18## Constraints19 20- No internet access is available.21- Convert flow from m3/h to m3/s.22- Use `P_h = rho g Q H / 1000` for hydraulic power in kW.23- Use `shaft power = hydraulic power / pump efficiency`.24- Use `motor input power = shaft power / motor efficiency`.25- Use `recommended motor size = motor input power * motor sizing factor`.26 27{% if tool_available %}28## Available Tool29 30A calculation tool is available at `/workspace/{{ meta.name }}_calc.py`. Run it with:31 32```bash33python3 /workspace/{{ meta.name }}_calc.py --help34```35 36You may use this tool to verify your calculations or compute values directly.37{% endif %}38 39## Required40 41Calculate:42 43- Hydraulic power (`hydraulic_power_kw`)44- Pump shaft power (`shaft_power_kw`)45- Motor input power (`motor_input_power_kw`)46- Recommended motor size (`recommended_motor_size_kw`)47 48## Output Format49 50Show your step-by-step working in Markdown. At the end of your solution, include a JSON block with your final answers in exactly this format:51 52```json53{54 "hydraulic_power_kw": <numeric_value>,55 "shaft_power_kw": <numeric_value>,56 "motor_input_power_kw": <numeric_value>,57 "recommended_motor_size_kw": <numeric_value>58}59```60 61Write your complete solution to `/workspace/output.md`.62

Scenario archetypes

Each generated task is drawn from one of these realistic scenario bands.

Site contexts ground each scenario in a real locale the model can use to infer hidden values.

Water transfer pump

water_transfer_pump

Water transfer pump power sizing

water-transfer-pumppump-station-duty
Parameter ranges
flow_rate_m3_h
10 – 2000
total_dynamic_head_m
10 – 150
fluid_density_kg_m3
990 – 1030
pump_efficiency_pct
45 – 85
motor_efficiency_pct
85 – 96
motor_sizing_factor
1.05 – 1.25

Process pump

process_pump

Industrial process pump power sizing

process-pumpchemical-transfer-pump
Parameter ranges
flow_rate_m3_h
1 – 1000
total_dynamic_head_m
20 – 250
fluid_density_kg_m3
700 – 1300
pump_efficiency_pct
35 – 80
motor_efficiency_pct
80 – 95
motor_sizing_factor
1.1 – 1.4

Example task

process-pump-process-pump-preview — hard difficulty, all inputs given.

Industrial process pump power sizing. process-pump. Required outputs: hydraulic_power_kw, shaft_power_kw, motor_input_power_kw, recommended_motor_size_kw

The model sees

Scenario context and visible inputs.

flow_rate_m3_h
1 to 1000 m3/h
total_dynamic_head_m
20 to 250 m
fluid_density_kg_m3
700 to 1300 kg/m3
pump_efficiency_pct
35 to 80 %
motor_efficiency_pct
80 to 95 %
motor_sizing_factor
1.1 to 1.4

Executable tool: pump-power-efficiency_calc.py

The model must infer

Inputs withheld at this difficulty.

Nothing. All inputs are supplied.

The model must produce

The scored JSON answer schema.

{
  "hydraulic_power_kw": <number>,
  "shaft_power_kw": <number>,
  "motor_input_power_kw": <number>,
  "recommended_motor_size_kw": <number>
}
  • hydraulic_power_kw · scored within ±3%
  • shaft_power_kw · scored within ±3%
  • motor_input_power_kw · scored within ±3%
  • recommended_motor_size_kw · scored within ±3%